武夷学院学报
武夷學院學報
무이학원학보
JOURNAL OF WUYI UNIVERSITY
2014年
5期
1-5
,共5页
统计逼近%q-Durrmeyer-Stancu算子%收敛速度%连续模%q-积分
統計逼近%q-Durrmeyer-Stancu算子%收斂速度%連續模%q-積分
통계핍근%q-Durrmeyer-Stancu산자%수렴속도%련속모%q-적분
Statistical approximation%q-Durrmeyer-Stancu operators%rate of convergence%modulus of continuity%q-integral
本文引进一类q-Durrmeyer-Stancu算子,并研究该算子列的一些统计逼近性质。得到算子列的统计逼近定理,同时借助连续模和Lipschitz函数类给出算子列统计收敛速度的估计。
本文引進一類q-Durrmeyer-Stancu算子,併研究該算子列的一些統計逼近性質。得到算子列的統計逼近定理,同時藉助連續模和Lipschitz函數類給齣算子列統計收斂速度的估計。
본문인진일류q-Durrmeyer-Stancu산자,병연구해산자렬적일사통계핍근성질。득도산자렬적통계핍근정리,동시차조련속모화Lipschitz함수류급출산자렬통계수렴속도적고계。
In this paper, a kind of q-Durrmeyer-Stancu operators is introduced. Some statistical approximation properties of these opˉ erators are studied. The statistical approximation theorem of these operators is given. The estimates of the rate of statistical convergence for these operators are also investigated by means of modulus of continuity and the help of functions of the Lipschitz class.